The extent of your research could speak to the thoroughness and the quality of your work as a future student. There are many who might simply go to their website and watch their virtual tour or take a stroll around the campus grounds, and then there are those who look over every detail they find, from reading their bulletin to interviewing former students. Speak to the thoroughness of your work, and follow through by leaving no stone unturned.
Share with the interviewers the consideration you put into your application. If you want to go the extra mile (this is in fact encouraged by the school on their website): Talk to and interview alumni of Brody School of Medicine. Attend an open house at Brody School of Medicine. Perform extensive online research. Research the most renowned graduates of Brody School of Medicine. Meet with a career counselor and ask for recommendations. Speak with a current student at East Carolina University, specifically someone in the program you are interested in.